Question 1108445
Graph the function -x^3+5x^2-2x+1

A_Find the value of x at which the given  f(x) has a local maximum. Round to the nearest hundredth.
B_Find the value of x at which the given f(x) has a local minimum. Round to the nearest hundredth.
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f' = -3x^2 + 10x - 2 = 0
*[invoke solve_quadratic_equation -3,10,-2]
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x = 0.21, 3.12
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f" = -6x + 10
f"(0.21) = positive --> minimum
f"(3.12) = negative --> maximum
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DL the FREE graph software at
www.padowan.dk
Use Ins, enter -x^3+5x^2-2x+1